Perry's Index to the Aesopica

Fables exist in many versions; here is one version in English:

THE LION, THE COW, THE SHE-GOAT AND THE SHEEP

An alliance made with the high and mighty can never be trusted.
This little fable proves my point.
A cow and a she-goat and a long-suffering sheep decided to become the lion's
companions. They went into the forest together and there they caught an extremely
large stag which they divided into four portions. Then the lion said, 'I claim
the first portion by right of my title, since I am called the king; the second
portion you will give me as your partner; then, because I am strongest, the third
portion is mine ... and woe betide anyone who dares to touch the fourth!' In
this way the wicked lion carried off all the spoils for himself.

Source:
Aesop's Fables. A new translation by Laura
Gibbs.
Oxford University Press (World's Classics): Oxford, 2002.
NOTE: New
cover, with new ISBN, published in 2008; contents of book unchanged.

There are many fables about the "lion's share."
In Perry 149, a lion, a fox, and donkey go
hunting. When the donkey divides the spoils equally, the lion kills
him. The fox then gives the lion almost everything and when questioned
by the lion, the fox explains: "I learned to do this from the
donkey." (Odo tells this story
about a lion and a fox and a wolf.) In Perry 339,
there are two quite different story types represented. In the Greek
versions (Babrius and Chambry),
the lion and the onager go hunting together, but when it comes to
divide their spoils, the lion takes everything for himself. In other
versions (Phaedrus and texts derived from Phaedrus),
the lion goes hunting with the cow and the goat, but when they divide
the spoils up into portions, the lion claims all the portions for
himself.

You can find a compilation of Perry's index to the Aesopica in the gigantic appendix to his
edition of Babrius and Phaedrus for the Loeb Classical Library
(Harvard University Press: Cambridge, 1965). This book is an absolute must for anyone interested
in the Aesopic fable tradition. Invaluable.